4408 has 16 divisors (see below), whose sum is σ = 9000. Its totient is φ = 2016.

The previous prime is 4397. The next prime is 4409. The reversal of 4408 is 8044.

It is a plaindrome in base 11, base 15 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 4391 and 4400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 138 + ... + 166.

2⁴⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

4408 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500).

4408 is a wasteful number, since it uses less digits than its factorization.

4408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4408 is about 66.3927706908. The cubic root of 4408 is about 16.3963505661.

The spelling of 4408 in words is "four thousand, four hundred eight".